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Finding the Third Proportional to 11,453,818 and 16,021,651

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Solution

The third proportional to 11,453,818 and 16,021,651 is: 22,411,155.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,453,818 : 16,021,651 = 16,021,651 : x
  2. Step 2: Convert to fraction form
    11,453,818/16,021,651 = 16,021,651/x
  3. Step 3: Cross multiply
    11,453,818x = 16,021,651 × 16,021,651
  4. Step 4: Simplify right side
    11,453,818x = 256,693,300,765,801
  5. Step 5: Solve for x
    x = 256,693,300,765,801/11,453,818
  6. Step 6: Final answer
    x = 22,411,155.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.